The voltage and current graphs for an inductor are shown. The maximum voltage and minimum voltage have the same magnitude of 8.60 V. The maximum current and the minimum current have the same magnitude of 4.30 A. What is the inductance for this system?
Question
The voltage and current graphs for an inductor are shown. The maximum voltage and minimum voltage have the same magnitude of 8.60 V. The maximum current and the minimum current have the same magnitude of 4.30 A. What is the inductance for this system?
Solution
The relationship between voltage (V), inductance (L), and current (I) in an inductor can be described by the formula V = L * (dI/dt), where dI/dt is the rate of change of current.
Given that the maximum and minimum voltages and currents are the same, we can assume that the current is changing at a constant rate. Therefore, we can simplify the formula to V = L * I.
Rearranging the formula to solve for L gives us L = V / I.
Substituting the given values into the formula gives us L = 8.60 V / 4.30 A = 2.00 H.
Therefore, the inductance of the system is 2.00 henries.
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